Paul tells Timothy that all Scripture is God-breathed and useful for teaching, rebuking, correcting, and what?

The four uses build toward formation, not just information: Scripture is 'God-breathed' so that the believer 'may be complete, equipped for every good work.' The goal is a changed life, not only correct belief.

2 Timothy 3:16–17 · BSB

“All Scripture is God-breathed and is useful for instruction, for conviction, for correction, and for training in righteousness, so that the man of God may be complete, fully equipped for every good work.”